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3.5.4 Differentiation (A-level only)

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Question 9

A magnetic flux contour line $C$ within a specialized superconducting alloy is modeled by the equation

y^2 + 60x - x^2 y = k, \quad y > 0

where $k$ is a constant and $x$ and $y$ represent spatial coordinates measured in micrometers.

Find $dydx\dfrac{dy}{dx}$ in terms of $x$ and $y$ .

[4]

The point $P (p, 10)$ , where $p$ is a constant, lies on $C$ . Given that $P$ is the minimum turning point on $C$ ,

find

(i) the value of $p$

(ii) the value of $k$

[5]

Markscheme

3.5.4 Differentiation (A-level only) Questions

A Level
Maths
3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.5.4 Differentiation (A-level only)

Question bank

3.5.4 Differentiation (A-level only)

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

Question 9

A magnetic flux contour line $C$ within a specialized superconducting alloy is modeled by the equation

y^2 + 60x - x^2 y = k, \quad y > 0

where $k$ is a constant and $x$ and $y$ represent spatial coordinates measured in micrometers.

Find $dydx\dfrac{dy}{dx}$ in terms of $x$ and $y$ .

[4]

The point $P (p, 10)$ , where $p$ is a constant, lies on $C$ . Given that $P$ is the minimum turning point on $C$ ,

find

(i) the value of $p$

(ii) the value of $k$

[5]

Markscheme

3.5.4 Differentiation (A-level only) Questions

A Level
Maths
3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.